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Calculus - Vectors - Vector Equation and Cartesian Equation

Question (i)

Find the vector equation of plane which passes through the points (2,1,1) , (1,-1,-1)
and (-1,1,2).

Question (2)

Obtain the Cartesian equation of a plane passing through three points (3,6,5) , (4,5,2) and (2,3,-1).

The question file is attached.


Solution Preview

Solution (i)

The vector equation of the plane is r. (2i-7j+6k) = 3

In the solution ...

Solution Summary

A step by step solution is given in the attached file, explaining how to find the vector equation of a plane given three points and how to find the cartesian equation of the plane.